100001200021000 has 64 divisors (see below), whose sum is σ = 236632053294000. Its totient is φ = 39551036377600.

The previous prime is 100001200020973. The next prime is 100001200021001. The reversal of 100001200021000 is 120002100001.

100001200021000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1678626001924 + 98322574019076 = 1295618^2 + 9915774^2 .

It is not an unprimeable number, because it can be changed into a prime (100001200021001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561715495 + ... + 561893494.

Almost surely, 2^{100001200021000} is an apocalyptic number.

100001200021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001200021000 is an abundant number, since it is smaller than the sum of its proper divisors (136630853273000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100001200021000 is a wasteful number, since it uses less digits than its factorization.

100001200021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123609099 (or 1123609085 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100001200021000 its reverse (120002100001), we get a palindrome (100121202121001).

The spelling of 100001200021000 in words is "one hundred trillion, one billion, two hundred million, twenty-one thousand".